What is the Greatest Common Factor of 50115 and 50125?

Greatest common factor (GCF) of 50115 and 50125 is 5.

GCF(50115,50125) = 5

We will now calculate the prime factors of 50115 and 50125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50115 and 50125.

How to find the GCF of 50115 and 50125?

We will first find the prime factorization of 50115 and 50125. After we will calculate the factors of 50115 and 50125 and find the biggest common factor number .

Step-1: Prime Factorization of 50115

Prime factors of 50115 are 3, 5, 13, 257. Prime factorization of 50115 in exponential form is:

50115 = 3¹ × 5¹ × 13¹ × 257¹

Step-2: Prime Factorization of 50125

Prime factors of 50125 are 5, 401. Prime factorization of 50125 in exponential form is:

50125 = 5³ × 401¹

Step-3: Factors of 50115

List of positive integer factors of 50115 that divides 50115 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 257, 771, 1285, 3341, 3855, 10023, 16705

Step-4: Factors of 50125

List of positive integer factors of 50125 that divides 50115 without a remainder.

1, 5, 25, 125, 401, 2005, 10025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50115 and 50125. The biggest common factor number is the GCF number.
So the greatest common factor 50115 and 50125 is 5.

Also check out the Least Common Multiple of 50115 and 50125